The problem states that old price is 4 and new price is 3. If you buy 5 at the old price, how many can you buy at the new price. It sounds like the items are purchased with the same amount of money.

ArithmeticWord ProblemRatioProportionPrice Calculation
2025/6/11

1. Problem Description

The problem states that old price is 4 and new price is

3. If you buy 5 at the old price, how many can you buy at the new price. It sounds like the items are purchased with the same amount of money.

2. Solution Steps

Let xx be the number of items bought at the old price and yy be the number of items bought at the new price.
The old price is 4 and the new price is

3. The cost of buying $x$ items at the old price is $4x$.

The cost of buying yy items at the new price is 3y3y.
We are given that x=5x=5.
So, the cost of buying 5 items at the old price is 4×5=204 \times 5 = 20.
We want to find how many items we can buy with the same amount of money ($20) at the new price.
3y=203y = 20.
y=203=623y = \frac{20}{3} = 6 \frac{2}{3}.
Since we can only buy whole items, we can buy 6 items at the new price.

3. Final Answer

6

Related problems in "Arithmetic"

The problem is to evaluate the expression $6 \div 2(1+2)$.

Order of OperationsPEMDASBODMASArithmetic Expressions
2025/6/12

The problem asks to compute two values: First, decrease 90 by 20%. Second, find 60% of 250.

PercentageArithmetic OperationsCalculation
2025/6/11

The problem is to increase 80 by 15%. This means we need to find 15% of 80 and then add that amount ...

PercentageArithmetic OperationsCalculation
2025/6/11

The problem asks us to express the number $0.016$ in three different forms: as a common fraction in ...

FractionsDecimal RepresentationSignificant FiguresScientific NotationRoundingNumber Conversion
2025/6/11

We need to evaluate the expression $\frac{3}{4} + \frac{1}{4} \times \frac{2}{3}$.

FractionsOrder of OperationsAdditionMultiplicationSimplificationLeast Common Multiple
2025/6/11

We are given three math problems involving fractions. We need to evaluate them and express the resul...

FractionsArithmetic OperationsCommon DenominatorsMixed NumbersOrder of Operations
2025/6/11

Question 1: A man invested GH¢2400.00 at an interest rate of 7% per year. At the end of a certain pe...

Simple InterestFinancial MathematicsPercentage
2025/6/10

We are given a set of multiple-choice math problems, and we need to find the correct answers.

Ratio and ProportionRate ProblemsSimple InterestWord Problems
2025/6/10

The problem is to evaluate the expression $\frac{1}{2} - 1\frac{1}{3} + 2\frac{1}{6}$.

FractionsMixed NumbersArithmetic OperationsSimplification
2025/6/10

The problem is to evaluate the expression $(8 + \frac{28}{3}) - (\frac{1}{2} - \frac{7}{3})$.

FractionsArithmetic OperationsOrder of Operations
2025/6/9